Answer
F(0,p)
y=-p
(0,3)
y=-3
Work Step by Step
$x^{2}=4py$ is the equation for a parabola opening vertically.
We can observe from the example equation $x^{2}=12y$ that the coefficient of y is 12
To find the p value set $12=4p$
(This will allow you to find the focus and directrix of a parabola centered at the origin)
Now solve for p
$3=p$
To find the focus use the focus coordinates (0,p)
Substitute:
The focus is at (0,3)
To find the directrix use the directrix formula $y=-p$
Substitute:
The directrix is $y=-3$
Keep in mind these formulas and coordinates are for finding the the directrix and focus when the parabola's vertex is at (0,0).